11271248384 has 80 divisors (see below), whose sum is σ = 24756960096. Its totient is φ = 5083852800.

The previous prime is 11271248363. The next prime is 11271248437. The reversal of 11271248384 is 48384217211.

It is a super-3 number, since 3×11271248384³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 730154 + ... + 745430.

Almost surely, 2^11271248384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11271248384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12378480048).

11271248384 is an abundant number, since it is smaller than the sum of its proper divisors (13485711712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11271248384 is a wasteful number, since it uses less digits than its factorization.

11271248384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15437 (or 15421 counting only the distinct ones).

The product of its digits is 86016, while the sum is 41.

The spelling of 11271248384 in words is "eleven billion, two hundred seventy-one million, two hundred forty-eight thousand, three hundred eighty-four".